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Questions  

A block A of mass m and a pan P of equal mass are connected by a string passing over a smooth light pulley. Initially the system is at rest. A particle of mass m falls freely from height h on the pan and sticks to it. The speed with which A moves just after the collision is

 

a
gh2
b
2gh3
c
2gh3
d
2gh3

detailed solution

Correct option is B

velocity with which mass m hits the pan is 2gh at that moment to conserve the momentum m2gh= 3mv other mass is also connected  and moves up with same velocity v= 2gh3

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A pendulum of length / = l m is released from θ0 = 600. The rate of change of speed of the bob at θ = 300 is (g = 10 m/s2)


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